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Module 7 Lesson 8Create a tangram puzzle and observe relationships
among shapes.
Multiply by 6 PATTERN SHEET
2 minutes
End
Equivalent CountingWith Units of 8
1 2 3 4 5 6 7 8 9 10
1 eight 2 eights 3 eights 4 eights 5 eights 6 eights 7 eights 8 eights 9 eights 10 eights
8 16 24 32 40 48 56 64 72 80
1 eight 16 3 eights 32 5 eights 48 7 eights 64 9 eights 80
8 2 eights 24 4 eights 40 6 eights 56 8 eights 72 10 eights
First let’s count to 10 by ones.Now let’s count up to 10 groups of 8, or 10 eights.Now skip count to 80 by 8.And for a challenge, let’s alternate between numbers and units of 8.Start with units of 8.And now alternate starting with numbers.
Shade Rectangles of Equal Area
Draw a rectangles with an area of 6 square units, with one row:
Shade Rectangles of Equal Area
Draw a rectangles with an area of 6 square units, with one row:
Draw a rectangles with an area, but with 2 rows:
Shade Rectangles of Equal Area
Draw a rectangles with an area of 8 square units, with one row:
Draw a rectangles with an area, but with 2 rows:
Shade Rectangles of Equal Area
Draw a rectangles with an area of 12 square units, with one row:
Draw a rectangles with an area, but with 2 rows:
Concept DevelopmentToday we are going to make Tangrams. These are small polygons that we can put together to form larger polygons.
You will need:Problem Set 7.8A piece of white copy paperScissorsBaggie to save the shapes you create for
tomorrow’s lesson
For this activity it is extremely important that you wait for instructions before taking each step. Please watch the teacher model what you need to do before doing it yourself. Do NOT cut anything out before receiving the instructions and watching the example.
Concept Development
old the short edge of your paper so that it lies flush along the long edge of the paper. Cut off the extra strip of paper and recycle it.
What shape is your paper?
Rectangle
Concept Development
Unfold your paper and cut out the two triangles as I cut out my triangles. Keep BOTH triangles, and draw and label them on Problem 1 on your Problem Set.
When I folded my paper down the diagonal line that goes through the middle of the paper, what shapes
did I make?
Triangles
Concept Development
Which smaller shapes is the big triangle composed of?
Next take ONE of your triangles and fold it in half to make two equal sides and crease it. Then open the paper and
cut along the fold.
Draw and label these new shapes on Problem 2 of your Problem Set.
Triangles
Concept Development
Crease along the top fold and open the triangle back up.Cut along the horizontal crease like this.
What shapes did we make?
Now take the second big and fold it in half to make two equal triangles, but do not cut it. Open it back out and fold
the top point down to meet the bottom of the line you made when you folded.
Like this:
Draw and label these new shapes on Problem 3 of your Problem Set.
Trapezoid & Triangle
Concept Development
Take the trapezoid and fold it in half. Cut it along the fold.Now you have two of what shape?
Draw and label these new shapes on Problem 4 of your Problem Set.
Quadrilaterals:Trapezoids
Concept Development
Take one of the new trapezoids and fold the longest point in. Make the long point meet the opposite corner and then
crease it.Open it up and cut along the fold.
Now you have what shapes?
Draw and label these new shapes on Problem 5 of your Problem Set.
Square & Triangle
Concept Development
Use the last trapezoid. Put its longest side at the bottom, with the right angles to the left. Fold the bottom left angle up to meet the diagonal corner and crease it. Then open it
up and cut along the fold line.What shapes did we make this time?
Draw and label these new shapes on Problem 6 of your Problem Set.
Parallelogram & Triangle
Concept Development
You are now done making
polygons.Your job is to
put the pieces back together to
form the large square we started
with.
Great Job!
Can you recreate these shapes?Or create some objects of your own?